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Finding the Fourth Proportional to 8,946.74, 13,420.77 and 2,372.78

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Solution

The fourth proportional to 8,946.74, 13,420.77 and 2,372.78 is: 3,559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.74 : 13,420.77 = 2,372.78 : x
  2. Step 2: Convert to fraction form
    8,946.74/13,420.77 = 2,372.78/x
  3. Step 3: Cross multiply
    8,946.74x = 13,420.77 × 2,372.78
  4. Step 4: Simplify right side
    8,946.74x = 31,844,534.64
  5. Step 5: Solve for x
    x = 31,844,534.64/8,946.74
  6. Step 6: Final answer
    x = 3,559.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.